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Lena [83]
3 years ago
11

What's the value of x in the equation: 10x-6=5x34

Mathematics
1 answer:
Snowcat [4.5K]3 years ago
8 0

Answer:

8

Step-by-step explanation:

10x-6=5x+34

-5x -5x

5x-6=34

+6 +6

5x=40

---- ----

5 5

x= 8

// have a great day //

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Bella and Heather put some money into their money boxes every week. The amount of money (y), in dollars, in their money boxes af
Hatshy [7]

Answer:

\boxed{ \text{B. 10 weeks, \$310 }}\\

Step-by-step explanation:

We have two conditions:

\begin{array}{lrcll}(1) & y & = & 25x + 60 & \\(2) & y & = & 30x + 10 & \\ & 25x + 60 & = & 30 x + 10 & \text {Set (1) = (2)} \\ & 50 & = & 5x & \text{Subtracted 25x from each side} \\& x & = & 10 &\text{Divided each side by 5} \\\end{array}\\$ $\\\boxed{ \textbf{The number of weeks is }x = 10}\\

   

    Bella: y = 25x + 60 = 25(10) + 60 = 250 + 60 = 310  

Heather: y = 30x + 10  = 30(10) +  10 = 300 + 10  = 310

7 0
3 years ago
Find the volume of a square pyramid 13 m tall whose base measures 5 m on a side
goblinko [34]
a=5m;\ H=13m\\\\The\ volume\ of\ a\ square\ pyramid:V=\frac{1}{3}a^2H\\\\Subtitute\ the\ values\ of\ a\ and\ H:\\\\\boxed{V=\frac{1}{3}\cdot5^2\cdot13=\frac{1}{3}\cdot25\cdot13=\frac{325}{3}=108\frac{1}{3}\ (m^3)}
8 0
3 years ago
1. The measure of angle GHI is 120° Angle GHI is cut in half with ray HK, if angle
saveliy_v [14]

Answer:

The value of x = 4

Step-by-step explanation:

In this question, we are asked to calculate the value of the angle x

Here the ray cuts the angle into half.

Since the total of the angle was 120, half of this would be 120/2 = 60

Now, it is this value of 60, that our new angle equals to

Mathematically;

3x + 48 = 60

3x = 60-48

3x = 12

x = 12/3

x = 4

5 0
3 years ago
Listed below is data on profit and market capitalization for a sample of 15 different firms in U.S. Profit is the y variable and
MissTica

Answer:

Step-by-step explanation:

Hello!

You have two study variables:

Dependent variable

Y: Profit of the firm in the U.S.

Independent variable

X: Market capitalization of the firm

a.

See the scatterplot in the attachment.

Looking at the graphic it seems that there is a positive regression between the profit and the market capitalization, meaning that every time the market capitalization of the firm increases, the profit of this firm also increases. But not all the "firms" adjust linearly, so I wouldn't expect the regression to be powerful.

b.

The regression model is E(Yi)= α + βXi

Where the parameters of the model are α and β, these two parameters are to be estimated to estimate the regression equation. The estimator for α is a and the estimator for β is b:

a= Y[bar] - bX[bar]

b= [∑XY-(∑X*∑Y)/n]/[∑X²-(∑X)²/n]

I'll use a statistic software to calculate the estimated regression equation:

^Yi= a + bXi

^Yi= 325.89 + 0.07Xi

c.

You need to predict the value of Y (Profit) given a value of X= 70721.3 (million). To make this prediction you have to use the estimated equation:

^Yi= 325.89 + 0.07Xi

^Yi= 325.89 + 0.07(70721.3)= 5276.381

The predicted profit for a market capitalization value of 70,721.3 is 5276.381 million.

I hope this helps!

6 0
3 years ago
Answer the problems please. You have to find out what the letter means.
zheka24 [161]

Answer:

29. x=5

30. a=7

31. r=8

32. c=4

33. w=3

34. m=9

Step-by-step explanation:

Hope this helps.

5 0
3 years ago
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